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Finding the Fourth Proportional to 206,815.64, 310,485.94 and 175,847.72

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Solution

The fourth proportional to 206,815.64, 310,485.94 and 175,847.72 is: 263,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,815.64 : 310,485.94 = 175,847.72 : x
  2. Step 2: Convert to fraction form
    206,815.64/310,485.94 = 175,847.72/x
  3. Step 3: Cross multiply
    206,815.64x = 310,485.94 × 175,847.72
  4. Step 4: Simplify right side
    206,815.64x = 54,598,242,649.01
  5. Step 5: Solve for x
    x = 54,598,242,649.01/206,815.64
  6. Step 6: Final answer
    x = 263,994.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.